Numerical study of an influenza epidemic dynamical model with diffusion
type: Item
instance of: scholarly article
title: Numerical study of an influenza epidemic dynamical model with diffusion
zbMATH Open document ID: 1458.35424
author: Mudassar Imran
author: Mohamed Ben-Romdhane
author: A. R. Ansari
author: H. Temimi
published in: Discrete and Continuous Dynamical Systems. Series S
publication date: 2021-01-12T00:00:00Z
review text: The study proposes a model of reaction-diffusion, which depicts the dynamics of transmission of seasonal influenza. The model is described by the parameters: \begin{itemize} \item population of susceptible individuals, \item population of exposed individuals, \item population of infected individuals, \item population of hospitalized individuals, \item population of recovered individuals. \end{itemize} Numerical solutions of the dynamic model are determined by the finite difference method and their interpretations are proposed. The results of the work are new, well-founded and relevant.
reviewed by: Ya. O. Baranets'kyĭ
Mathematics Subject Classification ID: 35Q92
Mathematics Subject Classification ID: 92D30
Mathematics Subject Classification ID: 92C50
Mathematics Subject Classification ID: 35B35
Mathematics Subject Classification ID: 65M06
Mathematics Subject Classification ID: 37M05
zbMATH DE Number: 7292862
zbMATH Keywords: influenza epidemic model
zbMATH Keywords: nonlinear dynamical system
zbMATH Keywords: diffusion
zbMATH Keywords: numerical solution
MaRDI profile type: Publication
full work available at URL: dcdss.2020168
OpenAlex ID: W2994538446
cites work: A Vaccination Model for Transmission Dynamics of Influenza
cites work: A model for influenza with vaccination and antiviral treatment
cites work: Mathematical epidemiology.
cites work: Transmission dynamics of the great influenza pandemic of 1918 in Geneva, Switzerland: assessing the effects of hypothetical interventions
cites work: Q2930429
cites work: Reproduction numbers and sub-threshold endemic equilibria for compartmental models of disease transmission
cites work: Global dynamics of a two-strain avian influenza model
cites work: Stability and Convergence of Finite Difference Methods for Systems of Nonlinear Reaction-Diffusion Equations
cites work: Mathematical analysis of swine influenza epidemic model with optimal control
cites work: A computational modeling and simulation of spatial dynamics in biological systems
cites work: Mathematical analysis of an influenza epidemic model, formulation of different controlling strategies using optimal control and estimation of basic reproduction number
cites work: Q5755052
cites work: Q3994920
cites work: Dynamical behavior of an epidemic model with a nonlinear incidence rate
cites work: Robust uniform persistence in discrete and continuous dynamical systems using Lyapunov exponents
cites work: Numerical study of a diffusive epidemic model of influenza with variable transmission coefficient
cites work: Numerical study of an influenza epidemic model with diffusion
cites work: A numerical study on an influenza epidemic model with vaccination and diffusion
cites work: Q3599253
cites work: Q3066573
cites work: Q4625315
cites work: A computational study and stability analysis of a mathematical model for in vitro inhibition of cancer cell mutation
Wikidata QID: Q126579184
DOI: 10.3934/DCDSS.2020168
description: scientific article; zbMATH DE number 7292862